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2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac {\text {number of rules}}{\text {integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [16] had the largest ratio of [50]

# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 5 4 1.00 40 0.100
2 A 4 4 1.00 40 0.100
3 A 4 3 1.00 40 0.075
4 A 4 4 1.00 40 0.100
5 A 5 5 1.00 40 0.125
6 A 5 5 1.00 40 0.125
7 A 8 5 1.00 42 0.119
8 A 6 6 1.00 38 0.158
9 A 10 6 1.00 37 0.162
10 A 8 7 1.00 41 0.171
11 A 10 6 1.00 39 0.154
12 A 10 6 1.00 39 0.154
13 A 10 6 1.00 39 0.154
14 A 10 6 1.00 39 0.154
15 A 10 6 1.00 39 0.154
16 A 8 5 1.00 50 0.100
17 A 6 6 1.00 46 0.130
18 A 5 4 1.00 48 0.083
19 A 4 4 1.00 48 0.083
20 A 4 3 1.00 48 0.062
21 A 5 5 1.00 48 0.104
22 A 5 5 1.00 48 0.104
23 A 5 5 1.00 48 0.104
24 A 6 6 1.00 50 0.120
25 A 10 6 0.99 45 0.133
26 A 8 7 1.00 49 0.143
27 A 10 6 0.99 47 0.128
28 A 10 6 0.99 47 0.128
29 A 10 6 0.99 47 0.128
30 A 10 6 1.00 47 0.128
31 A 10 6 1.00 47 0.128
32 A 2 2 1.40 31 0.065
33 A 5 5 1.00 41 0.122
34 A 0 0 0.00 0 0.000

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